49 citations · 134 across the 12 of their papers we have counts for
12 papers
A Spectral Localization Method for Time-Fractional Integro-Differential Equations with Nonsmooth Data
Lijing Zhao, Rui Zhao, Wenyi Tian +1
In this work, we develop a localized numerical scheme with low regularity requirements for solving time-fractional integro-differential equations. First, a fully discrete numerical…
Implicit-explicit time discretization schemes for a class of semilinear wave equations with nonautonomous dampings
Zhe Jiao, Yaxu Li, Lijing Zhao
This paper is concerned about the implicit-explicit (IMEX) methods for a class of dissipative wave systems with time-varying velocity feedbacks and nonlinear potential energies, eq…
The Contour integral method for Feynman-Kac equation with two internal states
Fugui Ma, Lijing Zhao, Yejuan Wang +1
We develop the contour integral method for numerically solving the Feynman-Kac equation with two internal states [P. B. Xu and W. H. Deng, Math. Model. Nat. Phenom., 13 (2018), 10]…
Analyses of the contour integral method for time fractional subdiffusion-normal transport equation
Fugui Ma, Lijing Zhao, Weihua Deng +1
In this work, we theoretically and numerically discuss the time fractional subdiffusion-normal transport equation, which depicts a crossover from sub-diffusion (as …
Stability for nonlinear wave motions damped by time-dependent frictions
Zhe Jiao, Yong Xu, Lijing Zhao
We are concerned with the dynamical behavior of solutions to semilinear wave systems with time-varying damping and nonconvex force potential. Our result shows that the dynamical be…
Well-Conditioned Galerkin Spectral Method for Two-Sided Fractional Diffusion Equation with Drift
Lijing Zhao, Xudong Wang
In this paper, we focus on designing a well-conditioned Glarkin spectral methods for solving a two-sided fractional diffusion equations with drift, in which the fractional operator…
Characterization of Image Spaces of Riemann-Liouville Fractional Integral Operators on Sobolev Spaces
Lijing Zhao, Weihua Deng, Jan S Hesthaven
Fractional operators are widely used in mathematical models describing abnormal and nonlocal phenomena. Although there are extensive numerical methods for solving the corresponding…
Fast predictor-corrector approach for the tempered fractional ordinary differential equations
Jingwei Deng, Lijing Zhao, Yujiang Wu
The tempered evolution equation describes the trapped dynamics, widely appearing in nature, e.g., the motion of living particles in viscous liquid. This paper proposes the fast pre…
Well-posedness and numerical algorithm for the tempered fractional ordinary differential equations
Can Li, Weihua Deng, Lijing Zhao
Trapped dynamics widely appears in nature, e.g., the motion of particles in viscous cytoplasm. The famous continuous time random walk (CTRW) model with power law waiting time distr…
High Order Finite Difference Methods on Non-uniform Meshes for Space Fractional Operators
Lijing Zhao, Weihua Deng
In the past decades, the finite difference methods for space fractional operators develop rapidly; to the best of our knowledge, all the existing finite difference schemes, includi…
A Series of High Order Quasi-Compact Schemes for Space Fractional Diffusion Equations Based on the Superconvergent Approximations for Fractional Derivatives
Lijing Zhao, Weihua Deng
Based on the superconvergent approximation at some point (depending on the fractional order , but not belonging to the mesh points) for Grünwald discretization to fractional der…
Jacobi-Predictor-Corrector Approach for the Fractional Ordinary Differential Equations
Lijing Zhao, Weihua Deng
We present a novel numerical method, called {\tt Jacobi-predictor-corrector approach}, for the numerical solution of fractional ordinary differential equations based on the polynom…